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TRIG – THE EASY WAY. Trig functions. To remember the trigonometry functions, use the memory aid: Soh Cah Toa The first letter of each aid represents the function. The last two letters indicates the ratio of sides needed to calculate the function.
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Trig functions To remember the trigonometry functions, use the memory aid: Soh Cah Toa The first letter of each aid represents the function. The last two letters indicates the ratio of sides needed to calculate the function. Soh --> Sine = opposite/hypotenuse Cah --> Cosine = adjacent/hypotenuse Toa --> Tangent = opposite/adjacent We can use trigonometry functions to determine: • one acute angle if you know two sides • one of the sides if you know an acute angle and one side
HYPOTENUSE, OPP. LEG,& ADJ. LEG HYPOTENUSE OPP. LEG ADJ. LEG
TO FIND A MISSING SIDE 21 ? 42°
Determine what trig function to use Set up the equation that solves the situation Solve the equation and round answer appropriately THE PROCESS 21 ? 42°
DETERMINING THE FUNCTION hypotenuse 21 ? Opp 42° Opposite / hypotenuse >>>>>>>>> SINE
solution • Sin 42° = x / 21 • .6691 = x / 21 • X = (.6691) (21) • X= 14.0511 • X= 14.1
TO FIND A MISSING ANGLE 8 ? 15
DETERMINE THE FUNCTION. OPPOSITE 8 ? 15 ADJACENT OPPOSITE / ADJACENT >>>>>>>>> TANGENT
Determine the function ----> Tangent Write the equation ----------> Tan D = 8 / 15 Solve the equation ---------> Tan D = .5333 Note : you must use the inverse of tangent to find the angle: tan-1 or arctan on your calculator. ‹D = tan-1(0.5333) ‹D = 28.072487 ‹D = 28º PROCESS AND SOLUTION